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Finding the Fourth Proportional to 1,026,442,947.60, 1,440,648,097.20 and 1,026,442,947.60

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Solution

The fourth proportional to 1,026,442,947.60, 1,440,648,097.20 and 1,026,442,947.60 is: 1,440,648,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,442,947.60 : 1,440,648,097.20 = 1,026,442,947.60 : x
  2. Step 2: Convert to fraction form
    1,026,442,947.60/1,440,648,097.20 = 1,026,442,947.60/x
  3. Step 3: Cross multiply
    1,026,442,947.60x = 1,440,648,097.20 × 1,026,442,947.60
  4. Step 4: Simplify right side
    1,026,442,947.60x = 1,478,743,079,344,299,264
  5. Step 5: Solve for x
    x = 1,478,743,079,344,299,264/1,026,442,947.60
  6. Step 6: Final answer
    x = 1,440,648,097.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.